On primitively 2-universal quadratic forms

Budarina, N.

doi:10.1090/S1061-0022-2012-01203-3

On primitively 2-universal quadratic forms
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by N. V. Budarina
Translated by: N. B. Lebedinskaya

St. Petersburg Math. J. 23 (2012), 435-458

DOI: https://doi.org/10.1090/S1061-0022-2012-01203-3

Published electronically: March 2, 2012

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Abstract:

The primitive representations of binary positive definite, classically integral quadratic forms over the local rings $\mathbb Z_p$ are studied. For the global ring, an efficient method is obtained for determining when a quadratic form is primitively 2-universal.

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